cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A367324 Table read by antidiagonals: Place k equally spaced points on each side of a regular n-gon and join every pair of the n*(k+1) boundary points by a chord; T(n,k) (n >= 3, k >= 0) gives the number of edges in the resulting planar graph.

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%I A367324 #15 Jan 06 2024 12:01:43
%S A367324 3,21,8,132,92,20,429,596,290,42,1272,1936,2215,708,91,2826,6020,7405,
%T A367324 4020,1575,136,5640,11088,21150,15120,10962,2632,288,10461,26260,
%U A367324 43490,38544,35812,17728,5148,390,17094,42144,88230,83136,96257,60672,33291,7800,715
%N A367324 Table read by antidiagonals: Place k equally spaced points on each side of a regular n-gon and join every pair of the n*(k+1) boundary points by a chord; T(n,k) (n >= 3, k >= 0) gives the number of edges in the resulting planar graph.
%C A367324 See A367322, A367323 and the cross references for images of the n-gons.
%F A367324 T(n,k) = A367322(n,k) + A367323(n,k) - 1 (Euler).
%e A367324 The table begins:
%e A367324 3, 21, 132, 429, 1272, 2826, 5640, 10461, 17094, 26847, 41046, 61041, 84051, ...
%e A367324 8, 92, 596, 1936, 6020, 11088, 26260, 42144, 72296, 107832, 183340, 222940, ...
%e A367324 20, 290, 2215, 7405, 21150, 43490, 88230, 151135, 250825, 384360, 578840, ...
%e A367324 42, 708, 4020, 15120, 38544, 83136, 169686, 294678, 475500, 746340, 1140624, ...
%e A367324 91, 1575, 10962, 35812, 96257, 201054, 389991, 668458, 1096508, 1675835, ...
%e A367324 136, 2632, 17728, 60672, 163776, 341920, 673112, 1155144, 1892528, 2905088, ...
%e A367324 288, 5148, 33291, 108252, 283464, 591723, 1133928, 1941786, 3166605, 4837824, ...
%e A367324 390, 7800, 48870, 164470, 430840, 900890, 1735800, 2982660, 4849740, 7438490, ...
%e A367324 715, 12793, 79134, 255552, 660033, 1376870, 2619287, 4482654, 7284904, ...
%e A367324 756, 16512, 99348, 346140, 912960, 1894920, 3685056, 6313164, 10261200, ...
%e A367324 1508, 26806, 160641, 516932, 1322802, 2757339, 5221996, 8932664, 14483183, ...
%e A367324 1722, 35546, 210658, 696682, 1773828, 3718400, 7030464, 12067720, 19517596, ...
%e A367324 2835, 49995, 292590, 939720, 2388825, 4976130, 9394815, 16064970, 26003640, ...
%e A367324 3088, 63456, 370784, 1217664, 3081472, 6455872, 12162640, 20861328, 33700320, ...
%e A367324 4896, 85680, 493017, 1579436, 3995102, 8318525, 15667336, 26783636, ...
%e A367324 4320, 99036, 593784, 1958922, 4978872, 10395450, 19644408, ...
%e A367324 7923, 137693, 781470, 2499792, 6298633, 13109658, 24645983, ...
%e A367324 8360, 167160, 941940, 3068280, 7705420, 16112480, 30238400, ...
%e A367324 12180, 210378, 1180683, 3772692, 9476418, 19717089, ...
%e A367324 12782, 252296, 1400674, 4547884, 11375584, 23776236, ...
%e A367324 17963, 308591, 1716306, 5478232, 13725457, 28550084, ...
%e A367324 16344, 350448, 1981416, 6460080, 16185624, ...
%e A367324 25600, 437700, 2415825, 7704700, 19262750, ...
%e A367324 .
%e A367324 .
%e A367324 .
%Y A367324 Cf. A367322 (vertices), A367323 (regions), A274586 (1st row), A331448 (2nd row), A329710 (3rd row), A330845 (4th row), A333112 (5th row), A333110 (6th row), A332429 (7th row), A332419 (8th row), A135565 (1st column).
%K A367324 nonn,tabl
%O A367324 3,1
%A A367324 _Scott R. Shannon_ and _N. J. A. Sloane_, Nov 14 2023